Ratio and Unitary Method Worksheet for Olympiad

Maths Olympiad topic 13: Ratio and the unitary method · Set 856 · 40 questions

How to solve it (Go through one): Unitary: cost of one = total ÷ number; then multiply by how many you need. Ratio p : q of a total: one part = total ÷ (p + q); a share = its parts × one part. Workers and days go the opposite way: total work = workers × days; days = total work ÷ new number of workers.

1. 1.If 3 notebooks cost ₹60, how much do 5 notebooks cost? (a) ₹62 (b) ₹300 (c) ₹120 (d) ₹100
2. 2.8 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 5 days (b) 3 days (c) 7 days (d) 4 days
3. 3.₹533 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹205 (b) ₹369 (c) ₹328 (d) ₹41
4. 4.₹392 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹28 (b) ₹252 (c) ₹196 (d) ₹140
5. 5.If 6 mangoes cost ₹132, how much do 7 mangoes cost? (a) ₹176 (b) ₹133 (c) ₹924 (d) ₹154
6. 6.₹99 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹44 (b) ₹66 (c) ₹55 (d) ₹11
7. 7.₹484 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹220 (b) ₹242 (c) ₹44 (d) ₹264
8. 8.If 7 pens cost ₹70, how much do 12 pens cost? (a) ₹120 (b) ₹130 (c) ₹75 (d) ₹840
9. 9.If 5 kites cost ₹75, how much do 6 kites cost? (a) ₹105 (b) ₹76 (c) ₹450 (d) ₹90
10. 10.If 3 pens cost ₹66, how much do 5 pens cost? (a) ₹330 (b) ₹132 (c) ₹110 (d) ₹68
11. 11.If 9 notebooks cost ₹126, how much do 10 notebooks cost? (a) ₹127 (b) ₹154 (c) ₹140 (d) ₹1260
12. 12.If 2 mangoes cost ₹16, how much do 3 mangoes cost? (a) ₹32 (b) ₹17 (c) ₹48 (d) ₹24
13. 13.If 9 notebooks cost ₹108, how much do 10 notebooks cost? (a) ₹109 (b) ₹120 (c) ₹1080 (d) ₹132
14. 14.₹57 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹19 (b) ₹39 (c) ₹57 (d) ₹38
15. 15.₹328 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹123 (b) ₹205 (c) ₹164 (d) ₹41
16. 16.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 8 days (b) 3 days (c) 6 days (d) 7 days
17. 17.If 9 pens cost ₹198, how much do 10 pens cost? (a) ₹199 (b) ₹1980 (c) ₹220 (d) ₹242
18. 18.If 7 kites cost ₹56, how much do 6 kites cost? (a) ₹55 (b) ₹56 (c) ₹48 (d) ₹336
19. 19.₹184 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹46 (b) ₹92 (c) ₹184 (d) ₹138
20. 20.5 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 6 days (b) 4 days (c) 5 days (d) 17 days
21. 21.8 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 4 days (b) 7 days (c) 8 days (d) 9 days
22. 22.If 6 kites cost ₹126, how much do 8 kites cost? (a) ₹168 (b) ₹128 (c) ₹1008 (d) ₹189
23. 23.₹340 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹340 (b) ₹306 (c) ₹34 (d) ₹170
24. 24.₹18 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹12 (b) ₹18 (c) ₹9 (d) ₹6
25. 25.4 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 10 days (b) 3 days (c) 4 days (d) 5 days
26. 26.If 2 kites cost ₹46, how much do 5 kites cost? (a) ₹138 (b) ₹49 (c) ₹115 (d) ₹230
27. 27.₹96 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹48 (b) ₹60 (c) ₹12 (d) ₹36
28. 28.₹333 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹297 (b) ₹37 (c) ₹333 (d) ₹296
29. 29.₹238 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹85 (b) ₹119 (c) ₹153 (d) ₹17
30. 30.If 6 pens cost ₹36, how much do 12 pens cost? (a) ₹42 (b) ₹72 (c) ₹78 (d) ₹432
31. 31.₹49 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹7 (b) ₹43 (c) ₹42 (d) ₹49
32. 32.₹429 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹33 (b) ₹297 (c) ₹264 (d) ₹165
33. 33.₹81 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹36 (b) ₹45 (c) ₹9 (d) ₹54
34. 34.₹169 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹104 (b) ₹117 (c) ₹13 (d) ₹65
35. 35.If 8 mangoes cost ₹112, how much do 12 mangoes cost? (a) ₹168 (b) ₹1344 (c) ₹116 (d) ₹182
36. 36.If 4 kites cost ₹88, how much do 3 kites cost? (a) ₹87 (b) ₹88 (c) ₹264 (d) ₹66
37. 37.If 5 notebooks cost ₹55, how much do 6 notebooks cost? (a) ₹77 (b) ₹330 (c) ₹66 (d) ₹56
38. 38.8 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 19 days (b) 7 days (c) 52 days (d) 53 days
39. 39.If 2 mangoes cost ₹10, how much do 7 mangoes cost? (a) ₹35 (b) ₹70 (c) ₹15 (d) ₹40
40. 40.3 workers can build a wall in 8 days. How many days will 6 workers take, working at the same speed? (a) 16 days (b) 11 days (c) 5 days (d) 4 days

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